One of the main features that distinguishes the colour code from other codes, like, e.g. Kitaev's surface code [1]}, is that the colour code permits the transversal, i.e. bit-wise realisation of the entire Clifford group [2]}, [3]}. This property facilitates a fault-tolerant application of the logical gate operations, as applying the logical gate through the application of single-qubit unitaries prevents an uncontrolled propagation of errors through the circuit. To complete a universal set of logical gate operations, one needs to complement the Clifford operations with a single non-Clifford gate. A common option is the \(T\) -gate [3]}, which can be implemented in the 7-qubit colour code by magic-state injection [5]} via a teleportation process between the register of system qubits and an ancilla qubit, through the preparation of a \(T\) -state and the growing of a logical qubit [6]}, or by code-switching techniques [7]}, [8]}, [9]}.
